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Finding the Fourth Proportional to 865.62, 1,298.27 and 232.41

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Solution

The fourth proportional to 865.62, 1,298.27 and 232.41 is: 348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,298.27 = 232.41 : x
  2. Step 2: Convert to fraction form
    865.62/1,298.27 = 232.41/x
  3. Step 3: Cross multiply
    865.62x = 1,298.27 × 232.41
  4. Step 4: Simplify right side
    865.62x = 301,726.64
  5. Step 5: Solve for x
    x = 301,726.64/865.62
  6. Step 6: Final answer
    x = 348.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.